Time-Domain Boundedness Of Noise-To-State Exponentially Stable Systems
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS(2020)
摘要
In this paper we prove the time-domain boundedness for noise-to-state exponentially stable systems, and further make an estimation of its lower bound function, which allows to answer the question that how long the solution of a stochastic noise-to-state exponentially stable system stays in the domain of attraction and what happens with it if it escapes from this region for a while. The results will complement the probability-domain boundedness of noise-to-state exponentially stable systems, and provide a new insight into noise-to-state exponential stability.
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关键词
Noise-to-state exponential stability, stochastic differential equation, persistent noise, loop, time-domain boundedness
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